Canon

Harry and Ginny first met at Kings Cross, where Ginny was starstruck by Harry's fame and asked to see him on the Hogwarts Express. Ginny developed a crush on him in CoS and she notably stands up for him against Draco Malfoy at Flourish and Blotts and sent him a Valentine. Later, Harry and Ginny became friends in OotP, due to Ginny becoming less shy around him and showing her true personality. Many shippers point to two moments that solidify this friendship: when they discuss her possession by Tom Riddle and Ginny trying to help him with talking to Sirius (which led to the ship being called HMS Chocolate due to the fact they were eating chocolate eggs). In HBP, Harry starts to fall for Ginny, and they get together after Ginny broke up with Dean. After Dumbledore's funeral, Harry soon broke up with her for her safety, but the feelings between them still remained, particularly proven when Ginny gave Harry a "birthday present". After the final Battle of Hogwarts, they are married, with three children: James Sirius, Albus Severus, and Lily Luna.

Fandom

While this pairing is popular, it also has its detractors, particularly the Harry/Hermione shippers, as well as people who simply dislike the ship itself without any ship loyalty. Nevertheless, due to its solidification in canon, it has gradually become accepted over the years by most in fandom and liked by many.

As of May 13, 2010 there were 14,142 fics marked as Harry and Ginny on fanfiction.net, though it is unknown how many of these are not about a Harry/Ginny relationship but rather about them interacting in some other context. This compares to 14,689 marked as Harry and Hermione and 25,803 marked as Harry and Draco.

Apart from EWE, a common way for fans who dislike the relationship to deal with it is infidelity stories, where either Harry or Ginny or both are unfaithful, and the couple eventually breaks up.

Harry/Ginny "Classics"

Though with the size of the Harry Potter fandom there is never a consensus on what can be considered a "classic," the following are some well-known and frequently recced Harry/Ginny stories:

Art

Harry/Ginny fanart depicting scenes from both fanon and canon are popular. Half-Blood Prince, in which the pairing became canonical, lead to a huge increase of Harry/Ginny art, many of which illustrated scenes from the book.